Solve for h -6(-7h+16)=-4(-14h+2)-10h

$- 6 (- 7 h + 16) = - 4 (- 14 h + 2) - 10 h$

Step 1

Since $h$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 4 (- 14 h + 2) - 10 h = - 6 (- 7 h + 16)$

Step 2

Simplify $- 4 (- 14 h + 2) - 10 h$ .

Simplify each term.

Apply the distributive property.

$- 4 (- 14 h) - 4 \cdot 2 - 10 h = - 6 (- 7 h + 16)$

Multiply $- 14$ by $- 4$ .

$56 h - 4 \cdot 2 - 10 h = - 6 (- 7 h + 16)$

Multiply $- 4$ by $2$ .

$56 h - 8 - 10 h = - 6 (- 7 h + 16)$

Subtract $10 h$ from $56 h$ .

$46 h - 8 = - 6 (- 7 h + 16)$

Step 3

Simplify $- 6 (- 7 h + 16)$ .

Apply the distributive property.

$46 h - 8 = - 6 (- 7 h) - 6 \cdot 16$

Multiply.

Multiply $- 7$ by $- 6$ .

$46 h - 8 = 42 h - 6 \cdot 16$

Multiply $- 6$ by $16$ .

$46 h - 8 = 42 h - 96$

Step 4

Move all terms containing $h$ to the left side of the equation.

Subtract $42 h$ from both sides of the equation.

$46 h - 8 - 42 h = - 96$

Subtract $42 h$ from $46 h$ .

$4 h - 8 = - 96$

Step 5

Move all terms not containing $h$ to the right side of the equation.

Add $8$ to both sides of the equation.

$4 h = - 96 + 8$

Add $- 96$ and $8$ .

$4 h = - 88$

Step 6

Divide each term in $4 h = - 88$ by $4$ and simplify.

Divide each term in $4 h = - 88$ by $4$ .

$\frac{4 h}{4} = \frac{- 88}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 h}{4} = \frac{- 88}{4}$

Divide $h$ by $1$ .

$h = \frac{- 88}{4}$

Simplify the right side.

Divide $- 88$ by $4$ .

$h = - 22$

Solve for h -6(-7h+16)=-4(-14h+2)-10h

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